Random perturbations of non-singular transformations on \([0,1]\)

DOI10.14492/HOKMJ/1372859588zbMath1387.37037OpenAlexW2024951472MaRDI QIDQ354028

Yukiko Iwata, Tomohiro Ogihara

Publication date: 17 July 2013

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.hokmj/1372859588

zbMATH Keywords

spectral decompositionrandom perturbationrandom dynamical system

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Generation, random and stochastic difference and differential equations (37H10) Dynamical systems involving maps of the interval (37E05) (L^p)-limit theorems (60F25)

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Constrictive Markov operators induced by Markov processes ⋮ Asymptotic behavior of non-expanding piecewise linear maps in the presence of random noise ⋮ MULTIPLICATIVE STOCHASTIC PERTURBATIONS OF ONE-DIMENSIONAL MAPS ⋮ \( \sigma \)-finite invariant densities for eventually conservative Markov operators

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